Answer:
θ ≈ 71.6°
Step-by-step explanation:
The angle between two lines with slopes m₁ and m₂ is:
tan θ = | (m₂ − m₁) / (1 + m₁m₂) |
Here, m₁ = -2 and m₂ = 1.
tan θ = | (1 − (-2)) / (1 + (-2)(1)) |
tan θ = | 3 / -1 |
tan θ = 3
θ ≈ 71.6°
Answer:
12f + 49g
Step-by-step explanation:
12f -7g(-7)
12f + 49g
12 people plus herself is 13 people. So 13.75(13)=178.75.
So, $178.75 for all tickets. But... I might be wrong.
Answer:
x= 48.75
Step-by-step explanation:
Add like terms
2x+2x and
2-17
4x-15=180
Now subtract -15 to both sides get x by itself
4x-15+15=180+15
4x=195
Now divide by four to each side to get x by itself again
4x/4 = 195/4
x=48.75
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 5 ⇒ m =
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
= -
y = x + 4 ⇒ m =
y = - x + 5 ⇒ m = -
y = x + 3 ⇒ m =
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
= -
the 2nd and 4th lines are perpendicular